$$3 - \frac{15}{28} \cdot 1 \frac{1}{6} = 3 - \frac{15}{28} \cdot \frac{7}{6} = 3 - \frac{5}{4 \cdot 2} = 3 - \frac{5}{8} = \frac{3 \cdot 8 - 5}{8} = \frac{24 - 5}{8} = \frac{19}{8}$$ $$\frac{19}{8} \cdot 2 \frac{2}{9} = \frac{19}{8} \cdot \frac{20}{9} = \frac{19 \cdot 20}{8 \cdot 9} = \frac{19 \cdot 5}{2 \cdot 9} = \frac{95}{18} = 5 \frac{5}{18}$$
Ответ: 5 5/18